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BL 100 250 Figure 2: Crank-connecting rod-piston mechanism (adapted from Hibbeler, 2002) In a multi-cylinder automobile internal combustion engine, crank AB is rotating with an angular velocity (see Figure 2). The length of crank AB and connecting rod BC are 100 mm and 250 mm respectively. In internal combustion engines the motion between these two elements represents an important design parameter. a) Determine the velocity of piston (block C) and angular velocity of connecting rod (BC) for the crank position indicated in Figure 2 if 6=45° and =AB = 2000 rpm. b) Determine the forces exerted on the connecting rod BC at points B and D for the crank angle =180°. The mass of the connecting rod is 1.2 kg (uniform slender rod) and the mass of the piston is 1.8 kg attached to the connecting rod. The crank AB is rotating with a constant angular velocity of 60 rad/s clockwise with no force applied to the face of the piston. Use force and acceleration relationship. c) Determine the angular velocity of the crank AB for the crank-rod-piston mechanism if the system is released from rest with = 60° to 6 = 20°. Also, determine the velocity of point C at the same instant. The masses of the connecting rod BC and the crank AB are 1.8 kg and 1.2 kg respectively. Both AB and BC can be considered as uniform slender rods. See Figure 2 for the length of crank and connecting rods. Use work and energy principle (conservation of energy principle). d) A 4 kg flywheel is attached with an automobile engine crankshaft. It has a radius of gyration about its shaft axis of = 0.2 m. If it is subjected to the torque M=10(1-e) Nm, where t is in seconds and the flywheel is at rest at time + = 0 s, determine its angular velocity wat time t = 3 s. Use impulse and momentum principle. t

BL 100 250 Figure 2: Crank-connecting rod-piston mechanism (adapted from Hibbeler, 2002) In a multi-cylinder automobile internal combustion engine, crank AB is rotating with an angular velocity (see Figure 2). The length of crank AB and connecting rod BC are 100 mm and 250 mm respectively. In internal combustion engines the motion between these two elements represents an important design parameter. a) Determine the velocity of piston (block C) and angular velocity of connecting rod (BC) for the crank position indicated in Figure 2 if 6=45° and =AB = 2000 rpm. b) Determine the forces exerted on the connecting rod BC at points B and D for the crank angle =180°. The mass of the connecting rod is 1.2 kg (uniform slender rod) and the mass of the piston is 1.8 kg attached to the connecting rod. The crank AB is rotating with a constant angular velocity of 60 rad/s clockwise with no force applied to the face of the piston. Use force and acceleration relationship. c) Determine the angular velocity of the crank AB for the crank-rod-piston mechanism if the system is released from rest with = 60° to 6 = 20°. Also, determine the velocity of point C at the same instant. The masses of the connecting rod BC and the crank AB are 1.8 kg and 1.2 kg respectively. Both AB and BC can be considered as uniform slender rods. See Figure 2 for the length of crank and connecting rods. Use work and energy principle (conservation of energy principle). d) A 4 kg flywheel is attached with an automobile engine crankshaft. It has a radius of gyration about its shaft axis of = 0.2 m. If it is subjected to the torque M=10(1-e) Nm, where t is in seconds and the flywheel is at rest at time + = 0 s, determine its angular velocity wat time t = 3 s. Use impulse and momentum principle. t

Elements Of Electromagnetics
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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BL 100 250 Figure 2: Crank-connecting rod-piston mechanism (adapted from Hibbeler, 2002) In a multi-cylinder automobile internal combustion engine, crank AB is rotating with an angular velocity (see Figure 2). The length of crank AB and connecting rod BC are 100 mm and 250 mm respectively. In internal combustion engines the motion between these two elements represents an important design parameter. a) Determine the velocity of piston (block C) and angular velocity of connecting rod (BC) for the crank position indicated in Figure 2 if 6=45° and =AB = 2000 rpm. b) Determine the forces exerted on the connecting rod BC at points B and D for the crank angle =180°. The mass of the connecting rod is 1.2 kg (uniform slender rod) and the mass of the piston is 1.8 kg attached to the connecting rod. The crank AB is rotating with a constant angular velocity of 60 rad/s clockwise with no force applied to the face of the piston. Use force and acceleration relationship. c) Determine the angular velocity of the crank AB for the crank-rod-piston mechanism if the system is released from rest with = 60° to 6 = 20°. Also, determine the velocity of point C at the same instant. The masses of the connecting rod BC and the crank AB are 1.8 kg and 1.2 kg respectively. Both AB and BC can be considered as uniform slender rods. See Figure 2 for the length of crank and connecting rods. Use work and energy principle (conservation of energy principle). d) A 4 kg flywheel is attached with an automobile engine crankshaft. It has a radius of gyration about its shaft axis of = 0.2 m. If it is subjected to the torque M=10(1-e) Nm, where t is in seconds and the flywheel is at rest at time + = 0 s, determine its angular velocity wat time t = 3 s. Use impulse and momentum principle. t
Transcribed Image Text:BL 100 250 Figure 2: Crank-connecting rod-piston mechanism (adapted from Hibbeler, 2002) In a multi-cylinder automobile internal combustion engine, crank AB is rotating with an angular velocity (see Figure 2). The length of crank AB and connecting rod BC are 100 mm and 250 mm respectively. In internal combustion engines the motion between these two elements represents an important design parameter. a) Determine the velocity of piston (block C) and angular velocity of connecting rod (BC) for the crank position indicated in Figure 2 if 6=45° and =AB = 2000 rpm. b) Determine the forces exerted on the connecting rod BC at points B and D for the crank angle =180°. The mass of the connecting rod is 1.2 kg (uniform slender rod) and the mass of the piston is 1.8 kg attached to the connecting rod. The crank AB is rotating with a constant angular velocity of 60 rad/s clockwise with no force applied to the face of the piston. Use force and acceleration relationship. c) Determine the angular velocity of the crank AB for the crank-rod-piston mechanism if the system is released from rest with = 60° to 6 = 20°. Also, determine the velocity of point C at the same instant. The masses of the connecting rod BC and the crank AB are 1.8 kg and 1.2 kg respectively. Both AB and BC can be considered as uniform slender rods. See Figure 2 for the length of crank and connecting rods. Use work and energy principle (conservation of energy principle). d) A 4 kg flywheel is attached with an automobile engine crankshaft. It has a radius of gyration about its shaft axis of = 0.2 m. If it is subjected to the torque M=10(1-e) Nm, where t is in seconds and the flywheel is at rest at time + = 0 s, determine its angular velocity wat time t = 3 s. Use impulse and momentum principle. t
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